C₅²×D₁₃×C₅₃ #46828013

order	34450
automorphism	?
homology	Abelianization (H₁) = C₂×C₅²×C₅₃ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₅²×D₁₃×C₅₃
unambiguous semidirect product	C₁₃⋊(C₂×C₅²×C₅₃)

	subgroup	G/H
center, hypercenter	C₅²×C₅₃	D₁₃
commutator, cosocle, hypocenter	C₁₃	C₂×C₅²×C₅₃
Frattini	C₁	G
Fitting, socle	C₅²×C₁₃×C₅₃	C₂
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₅²×C₅₃

64 conjugacy classes of subgroups.

μ_t(G) = 17225

10600 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34450, 21);